I was thinking of the some of the British R-class and some QE class, limited to 20* and 23km max range, IIRC.
Here are some notes on the the 15"/42 gun and mount,the most common battleship weapon for the Royal Navy in this hypothetical 1939 campaign:
During modernizations carried out during the 1930s, Queen Elizabeth, Valiant, Warspite and Renown had their turrets lifted off the ship and sent to the Vickers-Armstrong ordnance works at Elswick for modifications to increase the maximum elevation from 20 degrees up to 30 degrees.
By the mid-1930s the Admiralty saw these guns as growing obsolete, as other nations had developed more powerful weapons, capable of longer ranges and firing heavier projectiles. Along with this, the ships carrying these guns were approaching twenty years of service and starting to show signs of wearing out. Inhibited by treaty restrictions from replacing the battleships, the British instead sought to rectify the situation by initiating a "modernization" program whereby the ships had major overhauls performed and had their weapons upgraded. There were two significant improvements made to these guns during the modernizations: 1) The upper elevation limit of the mountings was increased from 20 degrees up to 30 degrees, which raised their maximum range with 4crh projectiles from 23,700 yards up to 29,000 yards (21,670 m to 26,520 m), and 2) The projectiles were redesigned to add a more streamlined ballistic cap (6crh), which increased the range still further to about 32,000 yards (29,260 m) at 30 degrees elevation. Thanks to these modifications, in July 1940 HMS Warspite made one of the longest hits ever scored by a naval gun on an enemy ship when she struck the Italian battleship Guilio Cesare at approximately 26,000 yards (23,770 m).
The rate at which these ships could be modernized was limited and by the start of World War II Malaya, Barham, Repulse and the five Royal Sovereign class battleships had not yet been upgraded. Royal Oak, Barham and Repulse were sunk early in the war, but the remaining unmodernized ships were given a "Super Charge" which consisted of the largest possible propellant charge that the guns and mountings could safely handle. These were issued starting in late 1941 and at the maximum elevation of 20 degrees allowed a range of 28,700 yards (26,240 m). However, from a study of the records, it would appear that no ship ever fired a shot using Super Charges, although they were used by the coastal artillery at Dover. Super Charges were not issued to ships with 30 degree mountings as the increased barrel wear and mounting stress was not considered to be acceptable. For this reason, sources which quote HMS Vanguard as having gun ranges in excess of 32,000 yards (29,260 m) are somewhat misleading, as such a range would have required the use of super charges, which she never carried.
The Hood MK II mounts already were capable of a 30 degree elevation from their inception.
Here are the ranges based upon elevation with the streamlined projectile (which would have been used in 1939) and normal charge:
2.6 degrees -5,000 yards (4,570 m)
5.6 degrees- 10,000 yards (9,140 m)
9.3 degrees- 15,000 yards (13,720 m)
13.8 degrees- 20,000 yards (18,290 m)
19.2 degrees-25,000 yards (22,860 m)
26.1 degrees-30,000 yards (27,430 m)
30.5 degrees-32,500 yards (29,720 m)
So it looks like in the British Navy as well, the amount of guns capable of a 20 degree elevation would be about 50/50 with guns capable of a 30 degree elevation, as Hood, Rodney and Nelson also all had 30 degree capability.